Question

Маленькая коробка конфет в 1. 2 раза легче большой.Масса 3 больших и 2 маленьких коробок на 50 г тяжелее, чем масса 2 больших и 3 маленьких коробок.Какова масса каждой коробки конфет?

Answer 1

Пусть масса маленькой коробки конфет х г, тогда масса большой коробки 1,2х г.  Составим уравнение по условию задачи:
3*1,2х + 2х - (2*1,2х+3х) = 50
3,6х+2х-2,4х-3х=50
0,2х=50
х=250
Масса маленькой коробки 250 г, масса большой коробки 1,2*250=300 г.

Проверка: 300*3+250*2 - 300*2+250*3 = 1400-1350=50.

Answer 2

Problem Analysis

We are given the following information: - The mass of a small box of candy is 1/2 the mass of a large box of candy. - The mass of 3 large boxes and 2 small boxes is 50 grams more than the mass of 2 large boxes and 3 small boxes.

We need to find the mass of each box of candy.

Solution

Let's assume the mass of a small box of candy is x grams. Then, the mass of a large box of candy would be 2x grams, according to the given information.

Now, let's set up an equation using the second piece of information: - The mass of 3 large boxes and 2 small boxes is 50 grams more than the mass of 2 large boxes and 3 small boxes.

The equation can be written as: 3 * (mass of a large box) + 2 * (mass of a small box) = 2 * (mass of a large box) + 3 * (mass of a small box) + 50

Substituting the values we assumed earlier, we get: 3 * (2x) + 2 * x = 2 * (2x) + 3 * x + 50

Simplifying the equation: 6x + 2x = 4x + 3x + 50 8x = 7x + 50 x = 50

Therefore, the mass of each small box of candy is 50 grams.

To find the mass of each large box of candy, we can substitute this value back into our assumption: The mass of a large box of candy is 2 * (mass of a small box) = 2 * 50 = 100 grams.

Answer

The mass of each small box of candy is 50 grams, and the mass of each large box of candy is 100 grams.

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